A new sufficient condition for optimal impulsive control problems

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Data

2012-12-01

Autores

De Oliveira, Valeriano A. [UNESP]
Silva, Geraldo N. [UNESP]
Pereiraz, Fernando Lobo

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Resumo

In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed. © 2012 IEEE.

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Control equations, Control variable, Optimal control problem, Optimal impulsive control, Optimality, Proper solutions, Sufficient conditions, Dynamics, Optimal control systems, Optimization, Nonlinear equations

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Proceedings of the IEEE Conference on Decision and Control, p. 6418-6423.